how to calculate beta of a portfolio??
use the equation of WACC, if the growth not provided or qualitative forcasting hard count use the nearest assumtion.
if u know the beta and theproportion of investment of the individual stocks of the portfolio then u can calculate the beta of the portfolio by multiplying the beta of stock with its proportion then adding all.
OK... BUT HOW TO CALCULATE BETA OF INDIVIDUAL ASSETS??
the beta of the individual asset can be calculated by this formula Beta of Security = Covariance(Security, Market)/Variance of Market i.e., \[\beta =\sum(R_{i}-R_{i}^{'})*(R_{m}-R_{m}^{'})/\sum(R_{m}-R_{m}^{'})^2\] where, R(i) return on security i R(i)' expected return on security i R(m) return on market R(m)' expected return on market
Beta comes from a regression between the returns on a stock and the returns of the market (people uses indexes, normally S&P 500). To choose your index, try to select one that replicates most of the market, for example try to select one that includes a mix of industries, also use a value weighted index NOT a price weighted index.
\[\beta=(R-Rf)/(Rm-Rf)\] Expected Rate of Return (R) Risk Free Interest Rate (Rf) Expected Market Return (Rm)
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